论文标题
旋转的黑洞周围的球形光子轨道，带有精髓和字符串云
Spherical photon orbits around a rotating black hole with quintessence and cloud of strings
论文作者
论文摘要
在本文中，我们计算了平面和极地球形光子轨道旋转黑洞周围的平面和极地光子轨道的分析溶液，该旋转与典型场和字符串云有关。这包括对描述赤道平面上轨道的五分之一的完整分析处理。此外，还研究了冲击参数的径向轮廓，并得出了与极端情况相对应的半径。对于更一般的情况，我们还讨论了在这个黑洞周围形成的光子区域。为了模拟出现在不同倾向中的轨道，我们通过将球形轨道的半径（以其一般形式）视为初始条件来分析以Weierstrassian椭圆函数的分析求解运动方程。也可以通过分析获得轨道的周期和稳定性条件。
In this paper, we calculate the analytical solutions for the radii of planar and polar spherical photon orbits around a rotating black hole that is associated with quintessential field and cloud of strings. This includes a full analytical treatment of a quintic that describes orbits on the equatorial plane. Furthermore, The radial profile of the impact parameters is studied and the radii corresponding to the extreme cases are derived. For the more general cases, we also discuss the photon regions that form around this black hole. To simulate the orbits that appear in different inclinations, we analytically solve the latitudinal and azimuth equations of motion in terms of the Weierstrassian elliptic functions, by considering the radii of spherical orbits, in their general form, as the initial conditions. The period and the stability conditions of the orbits are also obtained analytically.
